Search a number
-
+
2146674740 = 225725759663
BaseRepresentation
bin111111111110011…
…1010100000110100
312112121100101010212
41333330322200310
513344022042430
6553002404552
7104124301640
oct17774724064
95477311125
102146674740
11a01818561
124bab00758
13282980852
14165159c20
15c86d6b95
hex7ff3a834

2146674740 has 48 divisors (see below), whose sum is σ = 5172152832. Its totient is φ = 733126656.

The previous prime is 2146674727. The next prime is 2146674773. The reversal of 2146674740 is 474766412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6149 + ... + 65811.

It is an arithmetic number, because the mean of its divisors is an integer number (107753184).

Almost surely, 22146674740 is an apocalyptic number.

2146674740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146674740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586076416).

2146674740 is an abundant number, since it is smaller than the sum of its proper divisors (3025478092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2146674740 is a wasteful number, since it uses less digits than its factorization.

2146674740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59936 (or 59934 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 2146674740 is about 46332.2214015257. The cubic root of 2146674740 is about 1289.9971435948.

The spelling of 2146674740 in words is "two billion, one hundred forty-six million, six hundred seventy-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 7196 8995 17990 35980 59663 119326 238652 298315 417641 596630 835282 1193260 1670564 2088205 4176410 8352820 15333391 30666782 61333564 76666955 107333737 153333910 214667474 306667820 429334948 536668685 1073337370 2146674740